Title :
Frequency criteria for the absence of limit cycles in nonlinear systems
Author :
Rootenberg, Jacob ; Walk, Ralph
Author_Institution :
Columbia University, New York, NY, USA
fDate :
2/1/1973 12:00:00 AM
Abstract :
A method is derived herein that provides a geometric interpretation of frequency regions in the Nyquist plane over which simple oscillations cannot occur. These criteria answer a question of system behavior when Popov-type criteria are violated.
Keywords :
Limit cycles; Nonlinear systems; Popov stability; Stability; Colored noise; Delay systems; Frequency domain analysis; Jacobian matrices; Laboratories; Limit-cycles; Nonlinear systems; Smoothing methods; Stability criteria; Telephony;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1973.1100221
